Positive Slope

Front

What is a positive slope?

Back

A positive slope means that as the x-coordinate increases, the y-coordinate also increases, indicating an upward trend on a graph.

Front

What is the formula for calculating slope?

Back

The formula for slope (m) is m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.

Front

What does the 'x' represent in an ordered pair?

Back

In an ordered pair (x, y), 'x' represents the horizontal position on the graph.

Front

What does the 'y' represent in an ordered pair?

Back

In an ordered pair (x, y), 'y' represents the vertical position on the graph.

Front

What is the significance of the slope in a linear equation?

Back

The slope indicates the steepness and direction of the line; a positive slope means the line rises from left to right.

Front

What type of line has a slope of zero?

Back

A horizontal line has a slope of zero, meaning there is no vertical change as the x-coordinate changes.

Front

What type of line has an undefined slope?

Back

A vertical line has an undefined slope because the x-coordinates do not change, leading to division by zero in the slope formula.

Front

How do you determine if a slope is positive or negative?

Back

If the line rises from left to right, the slope is positive; if it falls from left to right, the slope is negative.

Front

What is a slope triangle?

Back

A slope triangle is a right triangle formed by the rise and run of a line on a graph, used to visualize and calculate slope.

Front

What does it mean if two slope triangles are similar?

Back

If two slope triangles are similar, they have the same angle measures and proportional sides, indicating they represent the same slope.